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Updated: June 27, 2025
This law of Consonance is operative in architecture more obscurely in the form of recurring numerical ratios, identical geometrical determining figures, parallel diagonals and the like, which will be discussed in a subsequent essay.
Consequently, the form of the curve is determined chiefly by the first series per day. The extreme irregularities of this curve are most interesting and puzzling, as are also the variations in the daily ratios of right to wrong first choices. Three times in the course of the training, this ratio rose to 1 to 9, or higher.
These ratios were about six and eleven times those prevalent among the Southern and Northern whites respectively. This nevertheless does not prove an excess of actual depravity or criminal disposition in any of the premises, for the discriminative character of the laws and the prejudice of constables, magistrates and jurors were strong contributing factors.
Thus, in a Fan with six blades, the space between the top of the blades and the case of the Fan should increase in area in the progressive ratios of 1-2-3-4-5-6. If a Fan be constructed on this common-sense principle, we shall secure the maximum of blast from the minimum of driving power.
And yet we know of an author viz., one S. T. Coleridge who repeated that same doctrine without finding any evil in it. Malthus again, in his population-book, contends for a mathematic difference between animal and vegetable life, in respect to the law of increase, as though the first increased by geometrical ratios, the last by arithmetical!
This means that the lower tone receives its character from being related to the upper tone by the ratio 2:3. Similarly, the upper tone receives its character from the ratio 3:2. The specific character of an interval arising out of the merging of its two tones, therefore, is determined by the ratio of their ratios. In the case of the Fifth this is 4:9.
In harmonics they ascertained the fact that three strings of equal lengths would yield the octave, fifth and fourth, when strained by weights having certain definite ratios; and they did not progress much beyond this. In the one of which cases we see geometry used in elucidation of the laws of light; and in the other, geometry and arithmetic made to measure the phenomena of sound.
No proposition more worthy of laughter; since both, when permitted to expand, increase by geometrical ratios, and the latter by much higher ratios. Whereas, Malthus persuaded himself of his crotchet simply by refusing the requisite condition in the vegetable case, and granting it in the other.
Dale told me the other day that she's sure Tom's been giving Roger a few pointers on control-deck operation. And one night I found Manning giving Astro a lecture in compression ratios. Of course, Manning's way of talking is a way that would confuse the Venusian more than it would help him, but at least they weren't snarling at each other." "Hmm," Walters nodded.
The relative ratios of tonus in these smaller internal secretion balances are of the utmost significance as causes of differences in the vegetative apparatus, which are the basis of differences in structure, power, and character between individuals.
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